The observation 1 (increase of the correlations in the dominant group) and 2 (increase of the variance in the dominant group) is in agreement with many of our previous results for different systems and with results of [1]}, whereas the interesting observation 3 (decrease of the correlations between the dominant group and others, i.e. isolation of the dominant group) seems to be less universal (see, for example, the correlation graphs published by [2]}).
